Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

Are you a student or a teacher?

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 75,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you will be able to solve division problems with more than one variable. Learn how many equations are needed to solve your problem depending on the number of variables you have.

In this video lesson, you will learn how to solve division problems with two or more variables. These are math problems that include the division operator and that have more than one unknown value. Why should you learn about these types of problems? Knowing how to solve these types of problems is a useful skill because you will see these problems not only in your math classes but also in real life. As you take your math tests and such, you might come across a problem such as this:

*x*/*y*= 2*y*/ 2 = 4

Do you notice something interesting about the equations? Yes, there are two equations. Why do you think there are two equations? There are two equations because there are two variables. Remember this: you need one equation per variable. So, if your problem involves three variables, then you need three equations.

There are various methods to solving problems that involve more than one equation. You can find these methods discussed in other lessons. Looking at your two equations, you see that you can solve the second equation for *y*, and then use the substitution method to solve the problem.

Solving the second equation for *y* gives you this:

*y*/ 2 = 4- (
*y*/ 2) * 2 = 4 * 2*y*= 8

- (

Now, Plugging this information into the first equation, you can solve for *x*:

*x*/*y*= 2*x*/ 8 = 2- (
*x*/ 8) * 8 = 2 * 8*x*= 16

- (

And you are done. You have solved for both variables. Your complete answer is *x* = 16 and *y* = 8.

Let's look at another problem. Solve:

- 27 /
*x*= 9 *y*/*x*= 3

Looking at these two equations, you see that you can solve the first equation for *x* and then substitute that answer into the second to solve for *y*. Solving the first equation for *x*, you get this:

- (27 /
*x*) **x*= 9 **x*- 27 = 9
*x*- 27 / 9 = 9
*x*/ 9- 3 =
*x*

- 3 =

- 27 / 9 = 9

- 27 = 9

Plugging this information into the second equation gives you this:

*y*/*x*= 3*y*/ 3 = 3- (
*y*/ 3) * 3 = 3 * 3*y*= 9

- (

And you are done. Your complete answer is *x* = 3 and *y* = 9.

Now, let's review what you've learned. Division problems with two or more variables are math problems that include the division operator and that have more than one unknown value. To solve these problems requires you to have one equation for each variable. You then use the most appropriate solution method to solve your equations to find your unknown values, your variables.

Find out how competently you can solve division problems with two or more variables after studying this video lesson's content.

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackDid you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
7 in chapter 25 of the course:

Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

- Solving Addition Equations with Two or More Variables 7:57
- Solving Addition Word Problems with Two or More Variables 8:57
- Solving Subtraction Equations with Two or More Variables 6:28
- Solving Subtraction Word Problems with Two or More Variables 5:55
- Solving Multiplication Equations with Two or More Variables 4:17
- Solving Multiplication Word Problems with Two or More Variables 6:28
- Solving Division Equations with Two or More Variables 3:10
- Go to 6th-8th Grade Algebra: Writing & Solving Two-Step Equations

- Computer Science 332: Cybersecurity Policies and Management
- Introduction to SQL
- Computer Science 203: Defensive Security
- GRE Information Guide
- Computer Science 310: Current Trends in Computer Science & IT
- FTCE: Equations and Inequalities
- FTCE: Analyzing Data and Drawing Conclusions
- FTCE: Data Analysis & Visualization
- The Cybersecurity Threat Landscape
- Cybersecurity Policy, Governance & Management
- What is the ASCP Exam?
- ASCPI vs ASCP
- MEGA Exam Registration Information
- MEGA & MoGEA Prep Product Comparison
- PERT Prep Product Comparison
- MTLE Prep Product Comparison
- What is the MTLE Test?

- How to Determine the Number of Main Ideas in a Text
- Sequence of Events in a Narrative: Lesson for Kids
- The Square Root Property
- Number Theory: Divisibility & Division Algorithm
- Guided Reading Lesson Plan Template & Example
- Practical Application for Introduction to SQL: Views
- Computer Security Risk Assessment Computations: SLE, ALE & ARO
- Quiz & Worksheet - Slang Words in The Outsiders
- Quiz & Worksheet - Othello's Soliloquy
- Quiz & Worksheet - Adjugate Matrices
- Quiz & Worksheet - Double Angle Properties & Rules
- Flashcards - Measurement & Experimental Design
- Flashcards - Stars & Celestial Bodies
- Next Generation Science Standards
- Lesson Plans for Teachers

- Freak the Mighty Study Guide
- SAT Prep: Practice & Study Guide
- Psychology 107: Life Span Developmental Psychology
- Financial Accounting: Help and Review
- PLACE Health: Practice & Study Guide
- FTCE Social Science: Consumer Decisions & Credit
- Teaching Things Fall Apart
- Quiz & Worksheet - Sources of U.S. Law
- Quiz & Worksheet - Hamlet Madness Quotes
- Quiz & Worksheet - Alternative Evaluations for ESL Students
- Quiz & Worksheet - Using the Word Hence
- Quiz & Worksheet - Bioethics Principles

- Types of Letter Writing
- What is a Truss Bridge? - Designs & Definition
- Course Curriculum Template
- Curriculum-Based Assessment Examples
- Top 5 Education Documentaries
- What is the TACHS Exam?
- How to Prep for the NYS Physics Regents Exam
- Introduction to Western Civilization II Course
- Teacher Appreciation Week Ideas
- Teacher Appreciation Day Ideas
- Reading Comprehension Activities
- Poetry for 2nd Grade

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject